CaltechAUTHORS
  A Caltech Library Service

The Effect of Strain Rate on Diffusion Flames

Carrier, G. F. and Fendell, F. E. and Marble, F. E. (1975) The Effect of Strain Rate on Diffusion Flames. SIAM Journal on Applied Mathematics, 28 (2). pp. 463-500. ISSN 0036-1399. http://resolver.caltech.edu/CaltechAUTHORS:20101216-133642630

[img] PDF - Published Version
See Usage Policy.

1891Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20101216-133642630

Abstract

Several steady state and time-dependent solutions to the compressible conservation laws describing direct one-step near-equilibrium irreversible exothermic burning of initially unmixed gaseous reactants, with Lewis-Semenov number unity, are presented. The quantitative investigation first establishes the Burke-Schumann thin-flame solution using the Shvab-Zeldovich formulation. Real flames do not have the indefinitely thin reaction zone associated with the Burke-Schumann solution. Singular perturbation analysis is used to provide a modification of the thin-flame solution which includes a more realistic reaction zone of small but finite thickness. The particular geometry emphasized is the un bounded counterflow such that there exists a spatially constant rate of strain along the flame. While the solutions for diffusion flames under a finite tangential strain rate may be of interest in and of themselves for laminar flow, the problems are motivated by the authors' belief that they are pertinent to the study of diffusion-flame burning in transitional and turbulent shear flows.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1137/0128038 DOIUNSPECIFIED
http://www.jstor.org/stable/2100557PublisherUNSPECIFIED
Additional Information:© 1975 Society for Industrial and Applied Mathematics. Received by the editors March 19, 1974. This work was supported in part by: Project SQUID, supported by the Office of Naval Research, Department of the Navy, under Contract N00014-67-A-0226-0005, NR-098-038 (F.E.F.); Office of Naval Research Contract N00014-67-A-0298-0033 and National Science Foundation Contract NSF-GP-34723 (G.F.C.). Presented by invitation at an International Symposium on Modern Developments in Fluid Dynamics in Honor of the 70th Birthday of Sydney Goldstein held at Haifa, Israel, December 16-23, 1973. The authors are very grateful to Dr. J. Eugene Broadwell of TRW Systems, Redondo Beach, California, for advice, criticism and encouragement.
Group:Guggenheim Jet Propulsion Center
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-67-A-0226-0005
Office of Naval Research (ONR)NR-098-038
Office of Naval Research (ONR)N00014-67-A-0298-0033
NSFGP-34723
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Guggenheim Jet Propulsion CenterUNSPECIFIED
Record Number:CaltechAUTHORS:20101216-133642630
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20101216-133642630
Official Citation:The Effect of Strain Rate on Diffusion Flames G. F. Carrier, F. E. Fendell, F. E. Marble SIAM Journal on Applied Mathematics, Vol. 28, No. 2 (Mar., 1975), pp. 463-500
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:21405
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:17 Dec 2010 16:24
Last Modified:26 Dec 2012 12:46

Repository Staff Only: item control page